Home / 10,089.50-15,135.06-3,164

Finding the Fourth Proportional to 10,089.50, 15,135.06 and 3,164

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Solution

The fourth proportional to 10,089.50, 15,135.06 and 3,164 is: 4,746.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,089.50 : 15,135.06 = 3,164 : x
  2. Step 2: Convert to fraction form
    10,089.50/15,135.06 = 3,164/x
  3. Step 3: Cross multiply
    10,089.50x = 15,135.06 × 3,164
  4. Step 4: Simplify right side
    10,089.50x = 47,887,329.84
  5. Step 5: Solve for x
    x = 47,887,329.84/10,089.50
  6. Step 6: Final answer
    x = 4,746.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.